%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM300+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:12:07 PM UTC 2026
% Result : Theorem 3.61s 1.39s
% Output : Refutation 3.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 10 unt; 0 def)
% Number of atoms : 24 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 20 ( 11 ~; 7 |; 1 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-1 aty)
% Number of variables : 23 ( 21 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
rdn_translate(n0,rdn_pos(rdnn(n0))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdn0) ).
fof(f129,axiom,
rdn_translate(nn1,rdn_neg(rdnn(n1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdnn1) ).
fof(f282,axiom,
! [X0,X1,X2,X3] :
( ( rdn_translate(X0,rdn_neg(X2))
& rdn_translate(X1,rdn_pos(X3)) )
=> less(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',less_entry_point_neg_pos) ).
fof(f402,conjecture,
? [X0] : less(X0,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',something_less_n0) ).
fof(f403,negated_conjecture,
~ ? [X0] : less(X0,n0),
inference(negated_conjecture,[status(cth)],[f402]) ).
fof(f415,plain,
! [X0,X1,X2,X3] :
( less(X0,X1)
| ~ rdn_translate(X0,rdn_neg(X2))
| ~ rdn_translate(X1,rdn_pos(X3)) ),
inference(ennf_transformation,[],[f282]) ).
fof(f416,plain,
! [X0,X1,X2,X3] :
( less(X0,X1)
| ~ rdn_translate(X0,rdn_neg(X2))
| ~ rdn_translate(X1,rdn_pos(X3)) ),
inference(flattening,[],[f415]) ).
fof(f450,plain,
! [X0] : ~ less(X0,n0),
inference(ennf_transformation,[],[f403]) ).
fof(f454,plain,
rdn_translate(n0,rdn_pos(rdnn(n0))),
inference(cnf_transformation,[],[f1]) ).
fof(f582,plain,
rdn_translate(nn1,rdn_neg(rdnn(n1))),
inference(cnf_transformation,[],[f129]) ).
fof(f735,plain,
! [X2,X3,X0,X1] :
( ~ rdn_translate(X0,rdn_neg(X2))
| less(X0,X1)
| ~ rdn_translate(X1,rdn_pos(X3)) ),
inference(cnf_transformation,[],[f416]) ).
fof(f858,plain,
! [X0] : ~ less(X0,n0),
inference(cnf_transformation,[],[f450]) ).
fof(f885,plain,
! [X0,X1] :
( less(nn1,X0)
| ~ rdn_translate(X0,rdn_pos(X1)) ),
inference(resolution,[],[f582,f735]) ).
fof(f932,plain,
! [X0] : ~ rdn_translate(n0,rdn_pos(X0)),
inference(resolution,[],[f885,f858]) ).
fof(f935,plain,
$false,
inference(resolution,[],[f932,f454]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM300+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n013.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 19:28:59 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.61/1.39 % (505531)Detected formulas, will run a generic FOF schedule.
% 3.61/1.39 % (505536)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2750723419:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.61/1.39 % (505539)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4270568078:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.61/1.39 % (505538)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=4134538143:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.61/1.39 % (505540)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1667951110:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.61/1.39 % (505537)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3705567353:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.61/1.39 % (505542)dis-21_1_sil=8000:lcm=predicate:random_seed=2323143743:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.61/1.39 % (505541)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1755253857:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.61/1.39 % (505539)Refutation not found, incomplete strategy
% 3.61/1.39 % (505539)------------------------------
% 3.61/1.39 % (505539)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.61/1.39 % (505539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.61/1.39 % (505539)CaDiCaL version: 2.1.3
% 3.61/1.39 % (505539)Termination reason: Refutation not found, incomplete strategy
% 3.61/1.39 % (505539)Time elapsed: 0.002 s
% 3.61/1.39 % (505539)Peak memory usage: 87 MB
% 3.61/1.39 % (505539)Instructions burned: 1 (million)
% 3.61/1.39 % (505541)First to succeed.
% 3.61/1.39 % (505541)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-505531"
% 3.61/1.39 % (505540)Instruction limit reached!
% 3.61/1.39 % (505540)------------------------------
% 3.61/1.39 % (505540)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.61/1.39 % (505540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.61/1.39 % (505540)CaDiCaL version: 2.1.3
% 3.61/1.39 % (505540)Termination reason: Instruction limit
% 3.61/1.39 % (505540)Termination phase: Saturation
% 3.61/1.39 % (505540)Time elapsed: 0.053 s
% 3.61/1.39 % (505540)Peak memory usage: 87 MB
% 3.61/1.39 % (505540)Instructions burned: 119 (million)
% 3.61/1.39 % (505542)Instruction limit reached!
% 3.61/1.39 % (505542)------------------------------
% 3.61/1.39 % (505542)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.61/1.39 % (505542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.61/1.39 % (505542)CaDiCaL version: 2.1.3
% 3.61/1.39 % (505542)Termination reason: Instruction limit
% 3.61/1.39 % (505542)Termination phase: Saturation
% 3.61/1.39 % (505542)Time elapsed: 0.063 s
% 3.61/1.39 % (505542)Peak memory usage: 89 MB
% 3.61/1.39 % (505542)Instructions burned: 132 (million)
% 3.61/1.39 % (505550)lrs+10_1_sil=8000:sp=occurrence:random_seed=349973551:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.61/1.39 % (505551)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3550683156:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.61/1.39 % (505550)Refutation not found, incomplete strategy
% 3.61/1.39 % (505550)------------------------------
% 3.61/1.39 % (505550)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.61/1.39 % (505550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.61/1.39 % (505550)CaDiCaL version: 2.1.3
% 3.61/1.39 % (505550)Termination reason: Refutation not found, incomplete strategy
% 3.61/1.39 % (505550)Time elapsed: 0.011 s
% 3.61/1.39 % (505550)Peak memory usage: 88 MB
% 3.61/1.39 % (505550)Instructions burned: 17 (million)
% 3.61/1.39 % (505551)Refutation not found, incomplete strategy
% 3.61/1.39 % (505551)------------------------------
% 3.61/1.39 % (505551)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.61/1.39 % (505551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.61/1.39 % (505551)CaDiCaL version: 2.1.3
% 3.61/1.39 % (505551)Termination reason: Refutation not found, incomplete strategy
% 3.61/1.39 % (505551)Time elapsed: 0.004 s
% 3.61/1.39 % (505551)Peak memory usage: 88 MB
% 3.61/1.39 % (505551)Instructions burned: 5 (million)
% 3.61/1.39 % (505539)------------------------------
% 3.61/1.39 % (505539)------------------------------
% 3.61/1.39 % (505541)Refutation found. Thanks to Tanya!
% 3.61/1.39 % SZS status Theorem for theBenchmark
% 3.61/1.39 % SZS output start Proof for theBenchmark
% See solution above
% 3.61/1.39 % (505541)------------------------------
% 3.61/1.39 % (505541)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.61/1.39 % (505541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.61/1.39 % (505541)CaDiCaL version: 2.1.3
% 3.61/1.39 % (505541)Termination reason: Refutation
% 3.61/1.39 % (505541)Time elapsed: 0.013 s
% 3.61/1.39 % (505541)Peak memory usage: 89 MB
% 3.61/1.39 % (505541)Instructions burned: 23 (million)
% 3.61/1.39 % (505541)------------------------------
% 3.61/1.39 % (505541)------------------------------
% 3.61/1.39 % (505531)Success in time 0.456 s
% 3.61/1.39 % Vampire exiting
%------------------------------------------------------------------------------